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    Question

    In a school election between two nominees 'P' and 'Q',

    12% of the total votes were considered invalid. If 'P' secured 60% of the valid votes and 'Q' received 21,120 valid votes, calculate the total number of votes polled.
    A 45,000 Correct Answer Incorrect Answer
    B 55,000 Correct Answer Incorrect Answer
    C 60,000 Correct Answer Incorrect Answer
    D 75,100 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total number of votes be '100n'

    Number of valid votes = 0.88 × 100n = 88n

    Number of valid votes received by 'Q' = 0.40 × 88n = 35.2n

    So, 35.2n = 21,120

    Or, n = 600

    Therefore, total number of votes = 600 × 100 = 60,000

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